420317040 has 320 divisors, whose sum is σ = 1576899072. Its totient is φ = 91238400.

The previous prime is 420317021. The next prime is 420317057. The reversal of 420317040 is 40713024.

It is a super-2 number, since 2×420317040² = 353332828228723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420316998 and 420317016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1269675 + ... + 1270005.

Almost surely, 2^420317040 is an apocalyptic number.

420317040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420317040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788449536).

420317040 is an abundant number, since it is smaller than the sum of its proper divisors (1156582032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420317040 is a wasteful number, since it uses less digits than its factorization.

420317040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 420317040 is about 20501.6350567461. The cubic root of 420317040 is about 749.0756256218.

The spelling of 420317040 in words is "four hundred twenty million, three hundred seventeen thousand, forty".